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Real Estate Facilities - Schedule of Activity in Real Estate Facilities (Detail) - USD ($)
 12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Real estate facilities      
Real estate facilities, beginning balance $ 1,887,205,645 $ 1,593,623,628  
Facility acquisitions 23,696,536 298,341,568 $ 371,507,610
Acquisitions 23,696,536    
Other facility acquisitions   69,981,850 15,689,143
Impact of foreign exchange rate changes and other 4,342,673    
Impact of foreign exchange rate changes 4,342,673 (12,984,154) (138,457)
Improvements and additions 9,501,518 8,224,603  
Real estate facilities, ending balance 1,924,746,372 1,887,205,645 1,593,623,628
Accumulated depreciation      
Accumulated depreciation, beginning balance (202,682,688) (155,926,875) (115,903,045)
Depreciation expense (52,619,881) (48,400,073) (40,158,233)
Impact of foreign exchange rate changes and other (541,715) 1,644,260 71,937
Impact of foreign exchange rate changes and other (541,715)    
Accumulated depreciation, ending balance $ (255,844,284) (202,682,688) $ (155,926,875)
SSGT II Merger Agreement      
Real estate facilities      
Facility acquisitions   $ 228,359,718